8 428 157 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Details

Composite, with 5 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁶⁸

Factored

Factor	Digits	Bits	Date
48461902751	11	35.5	old
196932316463	12	37.5	2008-09-08 04:33:00
2488823750072339569	19	61.1	2016-04-01 11:41:46
128721090267865656703	21	66.8	2020-09-23 11:38:20
993340234004649250498327	24	79.7	2024-03-16 10:41:23

P-1 factors

Date	Factors	B1	B2
2024-03-16	993340234004649250498327	3000000	3000000

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	PRP without proof (not generated)	2018-10-25	rucio	58FA51BEDD63DC52	3	3389966	5	3
Factored	PRP without proof (not generated)	2020-05-27	marssystems	58FA51BEDD63DC52	3	4588644	5	3
Factored	PRP without proof (not generated)	2020-09-26	Sébastien BROUCKE	58FA51BEDD63DC52	4	6114422	5	3
Verified	Certified Good	2024-03-23	Ryan Propper	58FA51BEDD63DC52	5	7540070	5	3

History

Date	User	Type	Result
2025-03-19	beep	NF-PM1	B1=3600000, B2=8622634020
2024-03-23	spottyman	CERT	Proof certified good
2024-03-23	Ryan Propper	C-PRP	M8428157/48461902751/196932316463/2488823750072339569/128721090267865656703/993340234004649250498327 : 58FA51BEDD63DC52 Proof Certified Good Proof Power: 8
2024-03-16	Stef42	F-PM1	Factor: 993340234004649250498327 / B1=3000000
2022-04-09	LordJulius	NF	no factor TF: 65-66
2022-04-09	LordJulius	NF	no factor TF: 64-65
2020-09-26	Sébastien BROUCKE	C-PRP	M8428157/48461902751/196932316463/2488823750072339569/128721090267865656703 : 58FA51BEDD63DC52
2020-09-23	TJAOI	F	Factor: 128721090267865656703
2020-05-27	marssystems	C-PRP	M8428157/48461902751/196932316463/2488823750072339569 : 58FA51BEDD63DC52
2018-10-25	rucio	C-PRP	M8428157/48461902751/196932316463/2488823750072339569 : 58FA51BEDD63DC52
2016-04-01	TJAOI	F	Factor: 2488823750072339569
2008-09-08	Will Edgington	F	Factor: 196932316463